Question

If p(x) = x2 – 1 and q(x) = 5(x-1), which expression is equivalent to (p – q)(x)?

A. 5(x – 1) – x2 – 1
B. (5x – 1) – (x2 – 1)
C. (x2 – 1) – 5(x – 1)
D. (x2 – 1) – 5x – 1

please help!!!

Answer 1

`\large\boxed{C.\ (x^2-1)-5(x-1)}`

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\p(x)=x^2-1,\ q(x)=5(x-1)\\\\(p-q)(x)=(x^2-1)-5(x-1)`